`(1-omega+omega^(2))^(2)+(1+omega-omega^(2))^(2)=-4`

If 1,omega,omega^(2) are the cube roots of units then find (1-omega+omega^(2))^(4)+(1+omega-omega^(2))^(8)

(1-omega+omega^(2))(1+omega-omega^(2))=4

If is a cubeth root of unity root of : (1-omega+omega^(2))^(4)+(1+omega-omega^(2))^(4) is :

If 1,omega,omega^(2) are the roots of unity then (1-omega+omega^(2))^(3)+(1+omega-omega^(2))^3=

Prove the following (1- omega + omega^(2)) (1 + omega- omega^(2)) (1 - omega- omega^(2))= 8

(1-omega +omega^2)(1+omega-omega^2)=4

If 1, omega, omega^(2) are three cube roots of unity, prove that (1 + omega - omega^(2)) (1- omega + omega^(2))=4

Prove that (1-omega-omega^(2))(1-omega+omega^(2))(1+omega-omega^(2))=8

(2 + omega + omega ^ (2)) ^ (3) + (1 + omega-omega ^ (2)) ^ (3) = (1-3 omega + omega ^ (2)) ^ (4) = 1

If omega is a cube root of unity, then the value of (1 - omega + omega^2)^4 + (1 + omega - omega^2)^(4) is ……….